On a class test there are 5 questions

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guerrero: Master | Next Rank: 500 Posts; Posts: 227; Joined: Sun Apr 08, 2012 4:53 am; Thanked: 12 times; Followed by:3 members

On a class test there are 5 questions

by guerrero » Sun Jun 23, 2013 6:06 pm

On a class test there are 5 questions. One question has been taken from each of four chapters. The first two chapters have 3 questions each, the last two chapters have 6 questions each. The fourth question can be picked from any of the four chapters. How many different question papers could have been prepared?

A. 540
B. 1260
C. 1080
D. 400
E. 4860

Source : Kaplan

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Source: Beat The GMAT — Problem Solving | Sun Jun 23, 2013 6:06 pm

srcc25anu: Master | Next Rank: 500 Posts; Posts: 423; Joined: Fri Jun 11, 2010 7:59 am; Location: Seattle, WA; Thanked: 86 times; Followed by:2 members

by srcc25anu » Sun Jun 23, 2013 7:07 pm

# ways to pick 1 Q from Ch 1 and Ch 2 each = 3C1 = 3
# ways to pick 1 Q from Ch 3 and Ch 4 each = 6C1 = 6
%th question can be picked out of any of the remaining 14 questions (Total there were 18 qs (3+3+6+6) out of which 4 Qs have been selected so left Qs = 14)
Total # of ways to make the 5 Q paper = 3*3*6*6*14 = 4536

That's none of the answer choices. Can you check the question. I think it should be 4536

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vipulgoyal: Master | Next Rank: 500 Posts; Posts: 468; Joined: Mon Jul 25, 2011 10:20 pm; Thanked: 29 times; Followed by:4 members